Here are some other ways to translate it:
* To brag
* To show off
* To boast
* To swagger
* To put on airs
For example:
* "Nagpapayabangan siya sa bago niyang kotse." (He's bragging about his new car.)
* "Huwag kang magpapayabang dahil hindi ka naman perpekto." (Don't brag because you're not perfect.)